Atkin-Lehner |
3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453y |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1944000 |
Modular degree for the optimal curve |
Δ |
-25131708432347139 = -1 · 39 · 76 · 173 · 472 |
Discriminant |
Eigenvalues |
2 3- 3 7- 3 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-178964,-30181861] |
[a1,a2,a3,a4,a6] |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
12.505285558469 |
L(r)(E,1)/r! |
Ω |
0.11578967793898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397a1 |
Quadratic twists by: -7 |